A) +8 and +7
B) +3 and +3
C) +6 and+6
D) +4 and+6
Correct Answer: C
Solution :
Both peroxomonosulphuric acid\[({{H}_{2}}S{{O}_{5}})\]and peroxodisulphuric acid\[({{H}_{2}}{{S}_{2}}{{O}_{8}})\]have peroxide linkage and have the following structures. \[H-O-\underset{\begin{smallmatrix} || \\ O \end{smallmatrix}}{\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{S}}}\,-\underbrace{O-O}_{\begin{smallmatrix} peroxide \\ \,\,\,linkage \end{smallmatrix}}-H\] Thus, oxidation number of S in\[{{H}_{2}}S{{O}_{5}},\]is calculated as \[\underset{(for\,H)}{\mathop{2\times (+1)}}\,+\underset{(for\,S)}{\mathop{x}}\,+\underset{(for\,O)}{\mathop{3\times (-2)}}\,+\underset{for\,peroxide}{\mathop{2\times (-1)}}\,\] \[2+x-6-2=0\] \[x=+6\] \[H-O-\underset{\begin{smallmatrix} || \\ O \end{smallmatrix}}{\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{S}}}\,-\underbrace{O-O}_{\begin{smallmatrix} peroxide \\ \,\,\,linkage \end{smallmatrix}}-\underset{\begin{smallmatrix} || \\ O \end{smallmatrix}}{\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{S}}}\,-O-H\] Thus, oxidation number of S in\[{{H}_{2}}{{S}_{2}}{{O}_{8}}\]is calculated as \[\underset{(for\,H)}{\mathop{2\times (+1)}}\,+\underset{(for\,S)}{\mathop{2\times (x)}}\,+\underset{(for\,O)}{\mathop{6\times (-2)}}\,+\underset{(for\,peroxide)}{\mathop{2\times (-1)}}\,=0\] \[2+2x-12+2=0\] \[\therefore \] \[x=+6\]
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